Affine varieties
concept- Related → Coordinate rings
- Related → Projective space
- Related → Rings
- Related → Localization
- Requires → Polynomials
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Nodes and connections
Algebraic dimension
concept- Related → Algebraic singularities
- Related → Sheaves
- Related → Localization
- Related → Rings
Localization
concept- Related → Prime ideals
- Related → Schemes
- Related → Affine varieties
- Related → Algebraic dimension
Rings
concept- Related → Polynomials
- Related → Affine varieties
- Related → Algebraic dimension
- Leads to → Coordinate rings
Algebraic singularities
concept- Related → Algebraic dimension
- Related → Divisors
Coordinate rings
concept- Related → Affine varieties
- Related → Morphisms of varieties
- Requires → Rings
Polynomials
concept- Related → Rings
- Leads to → Affine varieties
Prime ideals
concept- Related → Localization
- Related → Spectrum of a ring
- Leads to → Spectrum of a ring
Morphisms of varieties
concept- Related → Coordinate rings
- Related → Projective space
Divisors
concept- Related → Algebraic singularities
- Related → Sheaves
Spectrum of a ring
concept- Related → Prime ideals
- Related → Schemes
- Requires → Prime ideals
Projective space
concept- Related → Morphisms of varieties
- Related → Affine varieties
Schemes
concept- Related → Spectrum of a ring
- Related → Localization
Sheaves
concept- Related → Divisors
- Related → Algebraic dimension